# Merchant

The merchant lower cost by 10% in December when it was not sold. Again in January lower cost by 20% and now costs 576 €.
A. How much the goods stood originally?
B, how much cost the goods after the first lowering?
C, How many percents totally merchant lower cost?

Result

a =  800 EUR
b =  720 EUR
c =  28 %

#### Solution:

$\ \\ a \cdot \ (1 - 10/100) \cdot \ (1-20/100)=576 \ \\ \ \\ 72a=57600 \ \\ \ \\ a=800 \ \\ =800 \ \text{EUR}$
$b=a \cdot \ (1 - 10/100)=800 \cdot \ (1 - 10/100)=720 \ \text{EUR}$
$c=100 \cdot \ \dfrac{ a-576 }{ a }=100 \cdot \ \dfrac{ 800-576 }{ 800 }=28=28 \%$

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